Answer:
C
Step-by-step explanation:
A parabola is set of all points in a plane which are an equal distance away from a given point and given line. The point is called the focus of the parabola and the line is called the directrix.
Note that mailing address is unique, but houses are not, meaning that you can't have house A and house B both referencing the same address.
So, in order to have a valid function, any two points on the function cannot have the same x value that lands on different y.
With this property mentioned, it's clear to see that
(house, address) is NOT a function; however, (address, house) is a function, since same x lands on multiple y values is a valid onto function. (a house that have multiple addresses)
Answer:
Domain {x : x > 1}
Range {y : y ∈ R}
Vertical asymptote x = 0
x-intercept (1, 0)
End behavior consistent
Graph attached down
Step-by-step explanation:
Let us study the equation:
∵ y = log(x)
→ It is a logarithmic function, so no negative values for x
∴ Its domain is {x : x > 1}
∴ Its range is {y : y ∈ R}, where R is the set of the real numbers
→ An asymptote is a line that a curve approaches, but never touches
∵ x can not be zero
∴ It has a vertical asymptote whose equation is x = 0
→ x-intercept means values of x at y = 0, y-intercept means
values of y at x = 0
∵ x can not be zero
∴ There is no y-intercept
∵ y can be zero
∴ The x-intercept is (1, 0)
→ The end behavior of the parent function is consistent.
As x approaches infinity, the y-values slowly get larger,
approaching infinity
∵ y = log(x) is a parent function
∴ The end behavior is consistent
→ The graph is attached down
Answer:
Length: 9
Width: 2
Step-by-step explanation:
Area = length × width
18 = (x - 5)(x + 2)
18 = x² - 5x + 2x - 10
x² - 3x - 28 = 0
x² - 7x + 4x - 28 = 0
x(x - 7) + 4(x - 7) = 0
(x - 7)(x + 4) = 0
x = 7, -4(not possible)
Length: 7+2 = 9
Width: 7-5 = 2